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Finding the Fourth Proportional to 617,465.46, 925,829.10 and 238,071.51

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Solution

The fourth proportional to 617,465.46, 925,829.10 and 238,071.51 is: 356,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,465.46 : 925,829.10 = 238,071.51 : x
  2. Step 2: Convert to fraction form
    617,465.46/925,829.10 = 238,071.51/x
  3. Step 3: Cross multiply
    617,465.46x = 925,829.10 × 238,071.51
  4. Step 4: Simplify right side
    617,465.46x = 220,413,531,838.94
  5. Step 5: Solve for x
    x = 220,413,531,838.94/617,465.46
  6. Step 6: Final answer
    x = 356,964.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.